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Finding the Fourth Proportional to 500.34, 690.42 and 287.66

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Solution

The fourth proportional to 500.34, 690.42 and 287.66 is: 396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 690.42 = 287.66 : x
  2. Step 2: Convert to fraction form
    500.34/690.42 = 287.66/x
  3. Step 3: Cross multiply
    500.34x = 690.42 × 287.66
  4. Step 4: Simplify right side
    500.34x = 198,606.22
  5. Step 5: Solve for x
    x = 198,606.22/500.34
  6. Step 6: Final answer
    x = 396.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.